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ICMRA 系列讲座
Convergence and applications of an efficient iterative scheme for generalized $\alpha$-Reich-Suzuki nonexpansive mappings
Convergence and applications of an efficient iterative scheme for generalized $\alpha$-Reich-Suzuki nonexpansive mappings
时间
2026年05月18日 15:30 至 16:30
地点
A3-3-301
线上
Zoom 204 323 0165
(BIMSA)
摘要
In this study, a brief survey of the fixed point theory, methods and applications is discussed. The convergence behavior of the UO iterative scheme for approximating fixed points of generalized $\alpha$-Reich--Suzuki nonexpansive mappings in Banach spaces is presented. Weak and strong convergence theorems are established under appropriate conditions. The practical performance of the scheme is illustrated through numerical examples, demonstrating faster convergence compared to the $F^{\ast}$, Uddin et al., and Picard--S iterative methods. Polynomiographs for a sextic polynomial are generated to visualize the global convergence dynamics and the basins of attraction, highlighting the scheme's stability and wide attraction regions. Furthermore, the method is applied to solve a nonlinear fractional differential equation and to analyze an SVIR epidemic model with immigration across compartments. The results confirm that the UO iterative scheme is an efficient and reliable tool for solving nonlinear problems in applied mathematics, extending and generalizing existing findings in the literature.
演讲者介绍
Godwin Amechi Okeke is currently a full Professor and Head, Department of Mathematics, Federal University of Technology Owerri, Imo State, Nigeria (FUTO). His area of research interest is functional analysis, with focus on fixed point theory and nonlinear analysis. He has published over ninety research papers in reputable journals, with over sixty of the publications indexed in Scopus. He obtained his B.Sc (Mathematics) at the University of Nigeria, Nsukka. He completed his M.Sc and PhD in mathematics at the University of Lagos, Akoka, Nigeria. He was the first African to be appointed as a postdoctoral fellow of the Abdus Salam School of Mathematical Sciences, Lahore Pakistan. He is currently serving as the editor of some notable mathematics journals, including Journal of the Nigerian Mathematical Society and International Journal of Mathematical Sciences and Optimization. He has won several awards in Africa and beyond. He won the Vice Chancellor (FUTO) Best Researcher Recognition Award (Platinum Category) 2020-2025, emerging as the second most published researcher in the university. He has mentored and graduated some postgraduate students. His former PhD student, Dr. Daniel Francis was given the best PhD thesis award in 2023 by the Nigerian Mathematical Society.
He is visiting BIMSA with a support from the "ICMRA Visiting Scholars Program".
He is visiting BIMSA with a support from the "ICMRA Visiting Scholars Program".